Extreme harmonic functions and boundary value problems
Kohur Gowrisankaran · Annales de l’institut Fourier · 1963
by Kohur GOWMSANKARAN (Bombay-Paris)( 1 bis ) The limits considered above along brownian paths are in fact particular cases of a more general study of the Markov processes by Doob and Hunt.The relation to these processes of the extensions of Fatou-Naim-Doob results that we shall consider is becoming clearer thanks to a paper of Meyer in this volume : this author succeds to include the axiomatic study of Brelot [6] in the general study of Hunt.( 2 ) An element in U is minimal if it is proportional to every element of U which it majorises.The minimal elements are exactly the elements which are not the sum of two non-proportional elements in case U has the property that M, w in U and u ^ w implies w-u is in U.